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ALGEBRA I & II
ALGEBRA
- Represent, analyze, and generalize a variety of patterns
- Different forms of representation for a relationship
- Linear and nonlinear functions
- Different uses of variables
- Symbolic expressions and graphs of lines
- Intercept and slope
- Symbolic algebra
- Linear relationships
- Simple algebraic expressions
- Solve linear equations
- Solve problems using graphs, tables, and equations
- Changes in quantities in linear relationships
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DATA ANALYSIS AND PROBABILITY
- Characteristics shared by two populations
- Different characteristics within one population
- Graphical representations of data
- Mean and interquartile range
- Data sets and their graphical representations
- Develop and evaluate inferences and predictions that are based on data
- Observation of populations using samples
- Relationships between two characteristics of a sample
- Complementary and mutually exclusive events
- Proportionality
- Basic understanding of probability
- Probabilities for simple compound events
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GEOMETRY
- Types of two- and three-dimensional objects and their properties
- Angles, side lengths, perimeters, areas, and volumes of similar objects
- Congruence, similarity, and the Pythagorean relationship
- Properties of geometric shapes using coordinate geometry
- Special geometric shapes such as regular polygons
- Transformations such as flips, turns, slides, and scaling
- Congruence, similarity, and line or rotational symmetry
- Draw geometric objects with specified properties
- Two-dimensional representations of three-dimensional objects
- Problems involving surface area and volume
- Visual tools such as networks
- Geometric models explain numerical and algebraic relationships
- Explore math outside the classroom, such as art, science, and everyday life
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MEASUREMENT
- Metric and customary system of measurement
- Convert of units within the same system
- Time and Money
- Measure angles, perimeter, area, surface area, and volume
- Methods for estimating measurements
- Circumference of circles and the area of triangles, parallelograms, trapezoids, and circles
- Area of more-complex shapes
- Surface area and volume of selected prisms, pyramids, and cylinders
- Problems involving scale factors (using ratio and proportion)
- Problems involving velocity and density
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NUMBER AND OPERATIONS
- Fractions, decimals, and percents to solve problems
- Compare and order fractions, decimals, and percents
- Percents greater than 100 and less than 1
- Ratios and proportions
- Exponential, scientific, and calculator notation
- Factors, multiples, prime factorization
- Integers - represent and compare quantities with them
- Arithmetic operations with fractions, decimals, and integers
- Associative and commutative properties of addition and multiplication
- Distributive property of multiplication over addition
- Inverse relationships of addition and subtraction, multiplication and division
- Squaring and finding square roots
- Computing with fractions and decimals
- Algorithms for computing with fractions, decimals, and integers
- Rational-number computations
- Problems involving proportions - such as scaling and finding equivalent ratios
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